Control Statistics

Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems.

Functional analysis, the branch that lies between mathematical analysis and statistics, has many applications in the field of engineering and processes. Thus, this book presents several applications carried out from this perspective, as well as various works of a theoretical nature that take a further step so that researchers can use these models with high precision.

This research monograph develops the Hamilton-Jacobi-Bellman (HJB) theory through dynamic programming principle for a class of optimal control problems for stochastic hereditary differential systems. It is driven by a standard Brownian motion and with a bounded memory or an infinite but fading memory.

by Emilio L. Cano (Author), Javier M. Moguerza (Author), Mariano Prieto Corcoba (Author)
Demonstrates the power and extensibility of R in sophisticated quality control applications
Develops the fundamental concepts of the R programming language in an accessible, self-contained way, with numerous examples illustrating the connections to best practices in quality control
Written for a general audience, with a special aim towards quality control practitioners without a previous background in the R programming language
Contains several helpful indices that serve as quick references for ISO standards as well as R packages and functions discussed in the book

Presenting a practitioner's guide to capabilities and best practices of quality control systems using the R programming language, this volume emphasizes accessibility and ease-of-use through detailed explanations of R code as well as standard statistical methodologies. In the interest of reaching the widest possible audience of quality-control professionals and statisticians, examples throughout are structured to simplify complex equations and data structures, and to demonstrate their applications to quality control processes, such as ISO standards.